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Finding the Fourth Proportional to 9,230.08, 13,825.92 and 6,259.20

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Solution

The fourth proportional to 9,230.08, 13,825.92 and 6,259.20 is: 9,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.08 : 13,825.92 = 6,259.20 : x
  2. Step 2: Convert to fraction form
    9,230.08/13,825.92 = 6,259.20/x
  3. Step 3: Cross multiply
    9,230.08x = 13,825.92 × 6,259.20
  4. Step 4: Simplify right side
    9,230.08x = 86,539,198.46
  5. Step 5: Solve for x
    x = 86,539,198.46/9,230.08
  6. Step 6: Final answer
    x = 9,375.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.